Incremental expansions for Hubbard-Peierls systems

Details Incremental expansions for Hubbard-Peierls systems Incremental expansions for Hubbard-Peierls systems

1997-10-12

arxiv.org/abs/cond-mat/9710112v1

JETP Letters, 67(12),1052-1058, June 25 1998

Physics

Condensed Matter

4 Pages, 3 Figures, REVTEX

Scientific paper

10.1134/1.567791

The ground state energies of infinite half-filled Hubbard-Peierls chains are investigated combining incremental expansion with exact diagonalization of finite chain segments. The ground state energy of equidistant infinite Hubbard (Heisenberg) chains is calculated with a relative error of less than $3 \cdot 10^{-3}$ for all values of $U$ using diagonalizations of 12-site (20-site) chain segm ents. For dimerized chains the dimerization order parameter $d$ as a function of the onsite repulsion interaction $U$ has a maximum at nonzero values of $U$, if the electron-phonon coupling $g$ is lower than a critical value $g_c$. The critical value $g_c$ is found with high accuracy to be $g_c=0.69$. For smaller values of $g$ the position of the maximum of $d(U)$ is approximately $3t$, and rapidly tends to zero as $g$ approaches $g_c$ from below. We show how our method can be applied to calculate breathers for the problem of phonon dynamics in Hubbard-Peierls systems.

Affiliated with

Also associated with

No associations

Rating

Incremental expansions for Hubbard-Peierls systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Incremental expansions for Hubbard-Peierls systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Incremental expansions for Hubbard-Peierls systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-708022